On edge-addition problem
Joint Authors
Source
Journal of College of Education for Pure Sciences
Issue
Vol. 4, Issue 1 (31 Mar. 2014), pp.26-36, 11 p.
Publisher
University of Thi-Qar College of Education for Pure Sciences
Publication Date
2014-03-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract AR
افترضt و d إعداد صحيحة موجبه فأن مسئلة إضافة حافة يمكن أن نعرفها بما يلي افترض البيان G و بقطر d و يكن لدينا عدد صحيح موجب (d ' < d ( d ' للحصول على بيان H من G ما هو عدد الحواف التي يمكن إضافتها إلى G بحيث يكون البيان H له قطر على الأكثر d ' لتكن (t, d) F ترمز إلى اقل قطر للبيان الأخر الذي نحصل عليه بإضافة t من الحافات إلى البيان بقطر d و ليكن (t, d) p (حلقه) ترمز إلى اقل قطر لبيان نحصل عليه بإضافةt من الحافات إلى مسار (حلقه) بقطر d .
من الواضح أن (t, d) p = (t, d) F ليكن (P, d) Tp يرمز إلى عدد الحافات الذي ينبغي إضافتها إلى المسار بطول d للحصول على بيان بقطر على الأكثر P.
في هذا البحث سنجد القيمة الدقيقة إلى (P, d) Tp، (t, d) p لبعض قيم t و d (P و d).
كذلك نبرهن C (t, d) ≥ C (t ', d ') إذا كان (d ≥ d ', t = t ') أو ( (d = d ', t ≤t '.
Abstract EN
For given positive integerst and d, "Edge-addition problem" can stated as : Given a graph G with diameter d and a positive integer d ' (d '< d ) to obtain a graph H from G, how many edges must be added to G such that the resulting H has diameter of at most d '.
Let F (t, d) denoted the minimum diameter of an altered graph obtained by adding t extra edges to a graph with diameter d.
And let p (t, d) (res.
cycle) denoted the minimum diameter of graph obtained by adding t extra edges to a path (res.
cycle) with diameter d.
Clearly that F (t, d) p(t, d).
Let ( , ) p T P d denoted the minimum number of edges that have to be add to a path of length d in order to obtain a graph of diameter at most P.
In this paper we find exact value to p (t, d) , ( , ) p T P d for some t and d (res.
P and d).
Also we prove C (t, d) C (t, d ') if (d d ' and t t ') or (d d 'and t t ').
American Psychological Association (APA)
Suadi, Suad A. A.& Najm, Ala A.. 2014. On edge-addition problem. Journal of College of Education for Pure Sciences،Vol. 4, no. 1, pp.26-36.
https://search.emarefa.net/detail/BIM-390158
Modern Language Association (MLA)
Suadi, Suad A. A.& Najm, Ala A.. On edge-addition problem. Journal of College of Education for Pure Sciences Vol. 4, no. 1 (2014), pp.26-36.
https://search.emarefa.net/detail/BIM-390158
American Medical Association (AMA)
Suadi, Suad A. A.& Najm, Ala A.. On edge-addition problem. Journal of College of Education for Pure Sciences. 2014. Vol. 4, no. 1, pp.26-36.
https://search.emarefa.net/detail/BIM-390158
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 35-36
Record ID
BIM-390158